Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912bl |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-22413602514272256 = -1 · 231 · 33 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328417,72908161] |
[a1,a2,a3,a4,a6] |
Generators |
[717:14336:1] |
Generators of the group modulo torsion |
j |
-14943832855786297/85501108224 |
j-invariant |
L |
3.2824972674569 |
L(r)(E,1)/r! |
Ω |
0.38315147768465 |
Real period |
R |
2.1417751585436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30912ba1 7728s1 92736eb1 |
Quadratic twists by: -4 8 -3 |